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Continuum variational and diffusion quantum Monte Carlo calculations

REVIEW ARTICLE

R J Needs, M D Towler, N D Drummond and P López Ríos

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TOPICAL REVIEW

This topical review describes the methodology of continuum variational and diffusion quantum Monte Carlo calculations. These stochastic methods are based on many-body wavefunctions and are capable of achieving very high accuracy. The algorithms are intrinsically parallel and well suited to implementation on petascale computers, and the computational cost scales as a polynomial in the number of particles. A guide to the systems and topics which have been investigated using these methods is given. The bulk of the article is devoted to an overview of the basic quantum Monte Carlo methods, the forms and optimization of wavefunctions, performing calculations under periodic boundary conditions, using pseudopotentials, excited-state calculations, sources of calculational inaccuracy, and calculating energy differences and forces.


PACS

71.15.Ap Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.)

71.18.+y Fermi surface: calculations and measurements; effective mass, g factor

71.15.Mb Density functional theory, local density approximation, gradient and other corrections

71.10.-w Theories and models of many-electron systems

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 2 (20 January 2010)

Received 7 August 2009, in final form 13 November 2009

Published 10 December 2009



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